%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:00:57 PM UTC 2026
% Result : Unsatisfiable 3.15s 1.04s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(f3(X0,X2),f3(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] : p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f15,plain,
! [X0] : ~ p2(f3(c6,X0),f3(f3(c8,f5(c9)),X0)),
inference(resolution,[],[f8,f3]) ).
fof(f21,plain,
! [X0,X1] :
( ~ p2(X0,f3(f3(c8,f5(c9)),X1))
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[],[f15,f6]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ p2(X2,f3(f3(c8,f5(c9)),X1))
| ~ p2(X2,X0)
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[],[f21,f6]) ).
fof(f127,plain,
! [X0,X1] :
( ~ p2(f3(X0,f3(c8,f5(c9))),X1)
| ~ p2(X1,f3(c6,X0)) ),
inference(resolution,[],[f43,f4]) ).
fof(f256,plain,
! [X0] : ~ p2(f3(c8,f3(X0,f5(c9))),f3(c6,X0)),
inference(resolution,[],[f127,f10]) ).
fof(f323,plain,
! [X0,X1] :
( ~ p2(X0,f3(c6,X1))
| ~ p2(X0,f3(c8,f3(X1,f5(c9)))) ),
inference(resolution,[],[f256,f6]) ).
fof(f2311,plain,
! [X0] : ~ p2(f3(c6,X0),f3(c8,f3(X0,f5(c9)))),
inference(resolution,[],[f323,f1]) ).
fof(f2327,plain,
$false,
inference(resolution,[],[f2311,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n018.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 16:30:40 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.04 % (3522496)Input is clausal, will run a generic CNF schedule.
% 3.15/1.04 % (3522506)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2147819010:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.15/1.04 % (3522507)dis-21_1_sil=8000:lcm=predicate:random_seed=2795478817:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.15/1.04 % (3522503)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=83489088:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.15/1.04 % (3522502)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4150877508:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.15/1.04 % (3522504)lrs+10_1_sil=8000:sp=occurrence:random_seed=1281169972:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.15/1.04 % (3522505)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1708623391:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.15/1.04 % (3522501)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1019141710:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.15/1.04 % (3522506)First to succeed.
% 3.15/1.04 % (3522506)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3522496"
% 3.15/1.04 % (3522504)Instruction limit reached!
% 3.15/1.04 % (3522504)------------------------------
% 3.15/1.04 % (3522504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.04 % (3522504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.04 % (3522504)CaDiCaL version: 2.1.3
% 3.15/1.04 % (3522504)Termination reason: Instruction limit
% 3.15/1.04 % (3522504)Termination phase: Saturation
% 3.15/1.04 % (3522504)Time elapsed: 0.061 s
% 3.15/1.04 % (3522504)Peak memory usage: 89 MB
% 3.15/1.04 % (3522504)Instructions burned: 107 (million)
% 3.15/1.04 % (3522505)Instruction limit reached!
% 3.15/1.04 % (3522505)------------------------------
% 3.15/1.04 % (3522505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.04 % (3522505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.04 % (3522505)CaDiCaL version: 2.1.3
% 3.15/1.04 % (3522505)Termination reason: Instruction limit
% 3.15/1.04 % (3522505)Termination phase: Saturation
% 3.15/1.04 % (3522505)Time elapsed: 0.069 s
% 3.15/1.04 % (3522505)Peak memory usage: 88 MB
% 3.15/1.04 % (3522505)Instructions burned: 114 (million)
% 3.15/1.04 % (3522507)Instruction limit reached!
% 3.15/1.04 % (3522507)------------------------------
% 3.15/1.04 % (3522507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.04 % (3522507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.04 % (3522507)CaDiCaL version: 2.1.3
% 3.15/1.04 % (3522507)Termination reason: Instruction limit
% 3.15/1.04 % (3522507)Termination phase: Saturation
% 3.15/1.04 % (3522507)Time elapsed: 0.074 s
% 3.15/1.04 % (3522507)Peak memory usage: 88 MB
% 3.15/1.04 % (3522507)Instructions burned: 118 (million)
% 3.15/1.04 % (3522515)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3506255097:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.15/1.04 % (3522515)Also succeeded, but the first one will report.
% 3.15/1.04 % (3522517)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3822669276:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.15/1.04 % (3522516)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3611677799:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.15/1.04 % (3522516)Also succeeded, but the first one will report.
% 3.15/1.04 % (3522506)Refutation found. Thanks to Tanya!
% 3.15/1.04 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.15/1.04 % (3522506)------------------------------
% 3.15/1.04 % (3522506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.04 % (3522506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.04 % (3522506)CaDiCaL version: 2.1.3
% 3.15/1.04 % (3522506)Termination reason: Refutation
% 3.15/1.04 % (3522506)Time elapsed: 0.037 s
% 3.15/1.04 % (3522506)Peak memory usage: 89 MB
% 3.15/1.04 % (3522506)Instructions burned: 100 (million)
% 3.15/1.04 % (3522506)------------------------------
% 3.15/1.04 % (3522506)------------------------------
% 3.15/1.04 % (3522496)Success in time 0.396 s
% 3.15/1.04 % Vampire exiting
%------------------------------------------------------------------------------